TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.20.1.011
TI  - Higher-form anomalies and state-operator correspondence beyond conformal invariance
PY  - 2026/01/19
UR  - https://scipost.org/SciPostPhys.20.1.011
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 20
IS  - 1
SP  - 011
A1  - Vitouladitis, Stathis
AB  - We establish a state-operator correspondence for a class of non-conformal quantum field theories with continuous higher-form symmetries and a mixed anomaly. Such systems can always be realised as a relativistic superfluid. The symmetry structure induces an infinite tower of conserved charges, which we construct explicitly. These charges satisfy an abelian current algebra with a central extension, generalising the familiar Kac–Moody algebras to higher dimensions. States and operators are organised into representations of this algebra, enabling a direct correspondence. We demonstrate the correspondence explicitly in free examples by performing the Euclidean path integral on a $d$-dimensional ball, with local operators inserted in the origin, and matching to energy eigenstates on $S^{d-1}$ obtained by canonical quantisation. Interestingly, in the absence of conformal invariance, the empty path integral prepares a squeezed vacuum rather than the true ground state.
ER  -

@Article{10.21468/SciPostPhys.20.1.011,
	title={{Higher-form anomalies and state-operator correspondence beyond conformal invariance}},
	author={Stathis Vitouladitis},
	journal={SciPost Phys.},
	volume={20},
	pages={011},
	year={2026},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.20.1.011},
	url={https://scipost.org/10.21468/SciPostPhys.20.1.011},
}